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Finding the Third Proportional to 51,155.30 and 110,358.07

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Solution

The third proportional to 51,155.30 and 110,358.07 is: 238,077.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,155.30 : 110,358.07 = 110,358.07 : x
  2. Step 2: Convert to fraction form
    51,155.30/110,358.07 = 110,358.07/x
  3. Step 3: Cross multiply
    51,155.30x = 110,358.07 × 110,358.07
  4. Step 4: Simplify right side
    51,155.30x = 12,178,903,683.10
  5. Step 5: Solve for x
    x = 12,178,903,683.10/51,155.30
  6. Step 6: Final answer
    x = 238,077.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.